In this paper we present simplified proofs of two important theorems of J.Mather. The first (connecting) theorem [Ma2] is about wandering trajectories of exact area-preserving twist maps naturally arising for Hamiltonian systems with 2 degrees of freedom. The second (accelerating) theorem is about dynamics of generic time-periodic Hamiltonian systems on twotorus (2.5-degrees of freedom). Mather...

introduction: iache (acetylcholinesterase) is one of the plasma’s enzymes that plays a crucial role in nervous signal transduction in synapses and is responsible for the hydrolysis of ach. material & method: we investigated three methods for the determination of ache in human blood serum, using three different assays. michel methods are based on the measurement of hydrogen ion produced in proce...

Graphene that is a single hexagonal layer of carbon atoms with very high intrinsic charge carrier mobility (more than 200 000 cm2/Vs at 4.2 K for suspended samples; Bolotin, et al., 2008) attracts attention as a promising material for future nanoelectronics. During last few years, significant advancement has been made in preparation of large-area graphene. The lateral sizes of substrates for gr...

Background Osteoporosis is a skeletal disorder characterised by compromised bone strength resulting in an increased risk of fracture. Although DXA the only technology that can be used for diagnostic classification osteoporosis according to WHO, computed tomography imaging (CT) densitometry spine has equal or superior ability predict vertebral fractures postmenopausal women. Therefore continued ...

in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...